c^2+3cp-40p^2=0

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Solution for c^2+3cp-40p^2=0 equation: 


Simplifying
c2 + 3cp + -40p2 = 0

Reorder the terms:
3cp + c2 + -40p2 = 0

Solving
3cp + c2 + -40p2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -5p)(c + 8p) = 0


Subproblem 1
Set the factor '(c + -5p)' equal to zero and attempt to solve:

Simplifying
c + -5p = 0

Solving
c + -5p = 0

Move all terms containing c to the left, all other terms to the right.

Add '5p' to each side of the equation.
c + -5p + 5p = 0 + 5p

Combine like terms: -5p + 5p = 0
c + 0 = 0 + 5p
c = 0 + 5p
Remove the zero:
c = 5p

Simplifying
c = 5p

Subproblem 2
Set the factor '(c + 8p)' equal to zero and attempt to solve:

Simplifying
c + 8p = 0

Solving
c + 8p = 0

Move all terms containing c to the left, all other terms to the right.

Add '-8p' to each side of the equation.
c + 8p + -8p = 0 + -8p

Combine like terms: 8p + -8p = 0
c + 0 = 0 + -8p
c = 0 + -8p
Remove the zero:
c = -8p

Simplifying
c = -8p
Solution
c = {5p, -8p}

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